Couple of thoughts in this thread...
1. The ".355 - .358" caliber difference. In reality, bullets vary in "9mm" pistols from .355 to .362 inches. The barrel diameter varies as well. In addition, when the round fires, the bullet is 'upset' and fills out the barrel mouth in a pistol or the chamber mouth in a revolver. Then the bullet is swedged to bore diameter. It is a very rare occurance for the bullet not to be bore diameter by the time it leaves the barrel. And it works both ways; the smaller bullets 'upset' and the larger bullets 'swedge'. Further, it doesn't seem to make much pressure difference.
(One test loaded regular .30-06 loads, bullet weight, powder charge and everything; except the bullets were 8mm/.323" bullets. No perceived difference in chambering, firing or accuracy.)
2. Bottlenecked cartridges in revolvers usually don't work well. The cases typcially 'back up' against the recoil shield and wedge the cylinder in place. The .38-40 and .44-40 rounds are about the only rounds sucessful in this regard; both of those rounds are 'low pressure' rounds, unlike the .357 SIG.
Nor is there any advantage in a bottlenecked handgun round. The .357 SIG has no case volume advantage over a .357 Magnum, certainly less than a .357 Maximum, and is probably equal to a .38 Special. The final straw here is the overall limits of the revolver: if the revolver will only contain a maximum chamber pressure of - say - 40,000 psi, the shape of the combustion chamber makes no difference at all.
In a pistol, the bottle neck does allow for somewhat improved chambering. One can use square shouldered bullets and not be concerned about the bullet hanging up on the chamber mouth. This was the whole idea behind Jimmy Clark's early work with target 1911s chambered for the .38/45 round (a 45 ACP necked down to accept a 38 caliber, 148 grain, HBWC.) It was a neat idea, but a pain in the reloading press and never caught on commercially. But one sees them from time to time.
3. Yup, gotta have something to extract rimless cases. S&W made a 9x19 revolver in the '70s that had a tricky spring loaded extractor system that removed the need for moon clips. Of course, moon clips for 9x19 did not exist at that time... The mechanism worked okay, but was complicated to make. I have a feeling that repair work would be a gunsmith's nightmare. They don't do it anymore, as far as I know.
4. But hey! Why modify a revolver? Use the moon clips and one could fire .357 SIG from either a 10mm or .40S&W revolver. Velocity and accuracy would probably leave something to be desired, but the rounds would go bang. Just like firing .38-40 ammo in a .44-40 chamber.
This last paragraph is not a recomendation or endorsement. I just point it out as possible. In the words of Yogi Berra, "In theory, there's no difference between theory and practise; in practise, there is."